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Finding the Third Proportional to 44,638 and 59,241

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Solution

The third proportional to 44,638 and 59,241 is: 78,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,638 : 59,241 = 59,241 : x
  2. Step 2: Convert to fraction form
    44,638/59,241 = 59,241/x
  3. Step 3: Cross multiply
    44,638x = 59,241 × 59,241
  4. Step 4: Simplify right side
    44,638x = 3,509,496,081
  5. Step 5: Solve for x
    x = 3,509,496,081/44,638
  6. Step 6: Final answer
    x = 78,621.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.